You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
78 lines
4.0 KiB
78 lines
4.0 KiB
5 months ago
|
#pragma once
|
||
|
|
|
||
|
|
#include <utils/fwd_types.hpp>
|
||
|
|
|
||
|
|
// extract iso-mesh (topology only)
|
||
|
4 months ago
|
ISNP_API void extract_iso_mesh(uint32_t num_1_func,
|
||
|
|
uint32_t num_2_func,
|
||
|
|
uint32_t num_more_func,
|
||
|
|
const stl_vector_mp<arrangement_t>& cut_results,
|
||
|
|
const stl_vector_mp<uint32_t>& cut_result_index,
|
||
|
|
const stl_vector_mp<uint32_t>& func_in_tet,
|
||
|
|
const stl_vector_mp<uint32_t>& start_index_of_tet,
|
||
|
|
const stl_vector_mp<tetrahedron_vertex_indices_t>& tets,
|
||
|
|
stl_vector_mp<iso_vertex_t>& iso_verts,
|
||
|
|
stl_vector_mp<polygon_face_t>& iso_faces);
|
||
|
5 months ago
|
|
||
|
|
// given the list of vertex indices of a face, return the unique key of the face: (the smallest vert Id,
|
||
|
|
// second-smallest vert Id, the largest vert Id) assume: face_verts is a list of non-duplicate natural
|
||
|
|
// numbers, with at least three elements.
|
||
|
4 months ago
|
ISNP_API void compute_iso_face_key(const stl_vector_mp<uint32_t>& face_verts, pod_key_t<3>& key);
|
||
|
5 months ago
|
|
||
|
|
// compute xyz coordinates of iso-vertices
|
||
|
4 months ago
|
ISNP_API void compute_iso_vert_xyz(const stl_vector_mp<iso_vertex_t>& iso_verts,
|
||
|
|
const Eigen::Ref<const Eigen::MatrixXd>& func_vals,
|
||
|
|
const stl_vector_mp<raw_point_t>& pts,
|
||
|
|
stl_vector_mp<raw_point_t>& iso_pts);
|
||
|
5 months ago
|
|
||
|
|
// compute barycentric coordinate of Point (intersection of three planes)
|
||
|
|
// Point in tet cell
|
||
|
|
template <typename Scalar>
|
||
|
|
inline void compute_barycentric_coords(const std::array<Scalar, 4>& plane1,
|
||
|
|
const std::array<Scalar, 4>& plane2,
|
||
|
|
const std::array<Scalar, 4>& plane3,
|
||
|
|
std::array<Scalar, 4>& bary_coords)
|
||
|
|
{
|
||
|
|
Scalar n1 = plane1[3] * (plane2[2] * plane3[1] - plane2[1] * plane3[2])
|
||
|
|
+ plane1[2] * (plane2[1] * plane3[3] - plane2[3] * plane3[1])
|
||
|
|
+ plane1[1] * (plane2[3] * plane3[2] - plane2[2] * plane3[3]);
|
||
|
|
Scalar n2 = plane1[3] * (plane2[0] * plane3[2] - plane2[2] * plane3[0])
|
||
|
|
+ plane1[2] * (plane2[3] * plane3[0] - plane2[0] * plane3[3])
|
||
|
|
+ plane1[0] * (plane2[2] * plane3[3] - plane2[3] * plane3[2]);
|
||
|
|
Scalar n3 = plane1[3] * (plane2[1] * plane3[0] - plane2[0] * plane3[1])
|
||
|
|
+ plane1[1] * (plane2[0] * plane3[3] - plane2[3] * plane3[0])
|
||
|
|
+ plane1[0] * (plane2[3] * plane3[1] - plane2[1] * plane3[3]);
|
||
|
|
Scalar n4 = plane1[2] * (plane2[0] * plane3[1] - plane2[1] * plane3[0])
|
||
|
|
+ plane1[1] * (plane2[2] * plane3[0] - plane2[0] * plane3[2])
|
||
|
|
+ plane1[0] * (plane2[1] * plane3[2] - plane2[2] * plane3[1]);
|
||
|
|
Scalar d = n1 + n2 + n3 + n4;
|
||
|
|
//
|
||
|
|
bary_coords[0] = n1 / d;
|
||
|
|
bary_coords[1] = n2 / d;
|
||
|
|
bary_coords[2] = n3 / d;
|
||
|
|
bary_coords[3] = n4 / d;
|
||
|
|
}
|
||
|
|
|
||
|
|
// Point on tet face
|
||
|
|
template <typename Scalar>
|
||
|
|
inline void compute_barycentric_coords(const std::array<Scalar, 3>& plane1,
|
||
|
|
const std::array<Scalar, 3>& plane2,
|
||
|
|
std::array<Scalar, 3>& bary_coords)
|
||
|
|
{
|
||
|
|
Scalar n1 = plane1[2] * plane2[1] - plane1[1] * plane2[2];
|
||
|
|
Scalar n2 = plane1[0] * plane2[2] - plane1[2] * plane2[0];
|
||
|
|
Scalar n3 = plane1[1] * plane2[0] - plane1[0] * plane2[1];
|
||
|
|
Scalar d = n1 + n2 + n3;
|
||
|
|
//
|
||
|
|
bary_coords[0] = n1 / d;
|
||
|
|
bary_coords[1] = n2 / d;
|
||
|
|
bary_coords[2] = n3 / d;
|
||
|
|
}
|
||
|
|
|
||
|
|
// Point on tet edge
|
||
|
|
template <typename Scalar>
|
||
|
|
inline void compute_barycentric_coords(Scalar f1, Scalar f2, std::array<Scalar, 2>& bary_coords)
|
||
|
|
{
|
||
|
|
bary_coords[0] = f2 / (f2 - f1);
|
||
|
|
bary_coords[1] = 1 - bary_coords[0];
|
||
|
|
}
|